Straight Lines And Pair Of Straight Lines

Let \(A(-2,-1), B(1,0), C(\alpha, \beta)\) and \(D(\gamma, \delta)\) be the vertices of a parallelogram \(A B C D\). If the point \(C\) lies on \(2 x-y=5\) and the point \(D\) lies on \(3 x-2 y=6\), then the value of \(|\alpha+\beta+\gamma+\delta|\) is equal to ___________.